Ratio + expression of a variable from the formula - practice problems - page 6 of 13
Number of problems found: 257
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Save trees
Twenty-five tons of old paper will save 1,600 trees. How many tons of paper are needed to save the 32 trees in the park? - The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands? - Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
- Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm. - Kilogram 24921
Dahlia cooks with her mother apple slices. They mixed flour, sugar, and butter in a ratio of 10: 3: 2. How many grams of sugar and butter did they put in half a kilogram of flour? - Athletics 24911
The sports class is attended by athletes, cyclists, and football players. The number of athletes to cyclists is in the ratio 3:5, football players to cyclists 1:3. How many athletes attend the class if 9 children are involved in athletics? - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm². What is its length? - The dough
The dough contains water, flour, and sugar. Water and flour in a ratio of 2:3, flour and sugar in a 2:1. Find the ratio of all three components of the dough.
- Age of family
The age of father and son is in a ratio of 10:3. The age of the father and daughter is in a ratio of 5:2. How old are a father and a son if the daughter is 20? - Cross-section 23491
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
- The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is. - Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Circumference 20703
How do I change the length of a diamond's side if I want its circumference to double? - Pedestrian 20613
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours? - Dimensions 20553
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume.
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